New iPOD 32-Transfer Problem-Help!!

Hi. I am hoping someone can help me. I had an older 30 GB unit that I broke. I also had the old iPod set up with an old computer and e-mail account that I no longer use. I also have an iTunes account on my current computer that I also used to set up the old and new iPod. How do I get my songs from the old iTunes account transferred to my new iPod?? They show up in my current iTunes library but it will not let me transfer the songs to the new iPod. It's very frustrating? Any help will be greatly appreciated. Jeff

I REALLY appreciate the help but I am still having the same problem. I get the following message when I tried to drag the music file " Some of the songs did not transfer due to the fact that you are not authorized to load these songs on this computer" or something close to that anyway.
I had these songs on this computer but used an older version iPod. Am I screwed or what?? Thanks again. Jeff